基于ε_m模型的线元位置不确定性度量指标

Measurement Indexes of Positional Uncertainty for Plane Line Segment Based on ε_m Model

摘要: 首先研究了线元不确定性的εm模型,将该模型误差带边界线分为左边界线、右边界线、左误差半圆和右误差半圆四部分,利用代数的方法推导了这四部分误差带边界线的解析表达式;利用误差带边界线的解析表达式,绘出不确定性区域的图形,给出了平均误差带宽和误差带的面积作为线元不确定性的精度评估指标。

Abstract: In this paper,the εm uncertainty model of line segments is studied further.Firstly,the error band boundary line is divided into 4 parts: left boundary line,right boundary line,left error semicircle and right error semicircle.The analytic expression about the 4 parts an of the error band boundary line for the εm uncertainty model of line segments are deduced by algebra method.Secondly,the visual graphics of the error band for the εm uncertainty model can be drawn using the analytic formula.Thirdly,the average error band width and the error band area are gotten which are used to measure the precision of the line uncertainty.